Which best describes the following equation of 3 (5x + 8) =4 (6x + 9)

Answers

Answer 1

Answer:

x = -4/3

Step-by-step explanation:

Step 1:  Distribute

3(5x + 8) = 4(6x + 9)

15x + 24 = 24x + 36

Step 2:  Subtract 15x from both sides

15x + 24 - 15x = 24x + 36 - 15x

24 = 9x + 36

Step 3:  Subtract 36 from both sides

24 - 36 = 9x + 36 - 36

-12 = 9x

Step 4:  Divide both sides by 9

-12 / 9 = 9x / 9

-4/3 = x

Answer:  x = -4/3


Related Questions

What is the answer for -2/5(n + 3) = 10?

Answers

Answer: n=-28

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

1) distribute "-2/5" to each term inside the parentheses:

-2/5(n+3)=10

-2/5n+-6/5=10

add "6/5" on both sides

-2/5n-6/5+6/5=10+6/5

-2/5n=50/5+6/5

-2/5n=56/5

divide both sides by "-2/5"

n=-28

hope this helps

The path of a rotating fan has a diameter of about 18 inches and a circumference of about 56 inches. The path of a smaller model of the fan has a circumference of about 9 inches. What is the diameter of the rotating path of the smaller model? Round the nearest tenth.

Answers

Step-by-step explanation:

Proportionately the smaller diameter

18×9=162

162/56=2.89 inches

round it so it's approx 3 inches

The ratio of bananas to apples was 2 to 3. If there where 18 bananas how many apples where there

Answers

Answer:

There were 27 apples.

Step-by-step explanation:

Set a ratio of bananas to apples like this:

bananas/apples = 2/3

Now you have 18 bananas. The number of apples is unknown, so use "a" for the number of apples.

bananas/apples = 18/a

The two ratios above are equal, so set them equal. That creates a proportion.

2/3 = 18/a

Now we solve for a by cross multiplying.

2a = 3 * 18

2a = 54

a = 27

Answer: There were 27 apples.

Wut is circumference

Answers

The length of the outer edge of a circle

Answer:

Circumference is the distance around the outside of a circle

Step-by-step explanation:

Select the most SPECIFIC name for this shape
O Square
O Rhombus
O
Rectangle
O Parallelogram

Answers

Parallelogram
Explaination:

Which equation is the inverse of y = x2 – 36?
O y=+√x+6
y=1\x+36
2 y=+ X + 36
y=+Vx2+36

Answers

Answer:

y=1\x+36

Step-by-step explanation:

If y
per
wha
If you roll a number
cube 50 times, how
many times do you
expect to roll a
number less than 3?
seci

Answers

Answer:

8.333

Step-by-step explanation:

50 (times)/ 6 (amount of numbers possible on cube)

Solve.
The cost of having a package delivered by Quick Bicycle
Delivery is a function of the weight of the package. The
graph of this function is shown
What does the slope
represent in the
function?
Cost of Delivery
25
Weight (lb)
Tell whether each statement is True or False.
a. When the weight is greater
than 15 pounds, the cost
will be greater than $10.
b. An equation that represents
this graph is y * +0.6.
c. The slope is 1
d. The cost of delivery decreases
by $0.60 for each pound the
weight decreases
o True
True
True
I False
False
False
True
False

Answers

Answer:

Step-by-step explanation:

true

true

false

true

true

false

true

false

The New York Times newspaper publishes one issue each day during the

year. What is the Order of Magnitude for the number of issues of the New

York Times published each year?

Answers

Answer:

The Order of Magnitude for the number of issues of the New  York Times published each year is 2.

Step-by-step explanation:

Given that the newspaper publishes one issue each day and the year has 365 days, then it publishes 365 issues each year.

365 can be rewritten, with scientific notation, as: 3.65*10^2, which means it has 2 orders of magnitude (it is indicated in the exponent).

What is the answer for -12+x/11=-3

Answers

Answer:

x = 99

Step-by-step explanation:

Step 1:  Solve for x

-12 + x/11 + 12 = -3 + 12

x/11 * 11 = 9 * 11

x = 99

Answer:  x = 99

Which is a correct classification for the triangle?
equiangular triangle
acute triangle
right triangle
obtuse triangle

Answers

Answer:

acute

Step-by-step explanation:

Simplify the expression
6x^2+20/4

Answers

Answer:

6x2+5

Step-by-step explanation:

Darla and her friend penny left their office at the same time and began traveling down the same road in the same direction. Darla traveled at a speed of 65 mph while Penny drive at 70 mph. How many hours was it before Penny was 5 miles ahead of Darla?

Answers

Answer:

The number of hours was it before Penny was 5 miles ahead of Darla is 1 hour.

Step-by-step explanation:

Given : Darla and her friend penny left their office at the same time and began traveling down the same road in the same direction. Darla traveled at a speed of 65 mph while Penny drive at 70 mph.

To find : How many hours was it before Penny was 5 miles ahead of Darla?

Solution :

The formula used - [tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]

Darla traveled at a speed of 65 mph.

Penny drive at 70 mph.

Let x be the number of hours taken by both.

Distance covered by Darla is [tex]d_1= 65\times x=65x[/tex]

Distance covered by Penny is [tex]d_2= 70\times x=70x[/tex]

According to given statement; Penny was 5 miles ahead of Darla

i.e. [tex]d_2-d_1=5[/tex]

[tex]70x-65x=5[/tex]

[tex]5x=5[/tex]

[tex]x=\frac{5}{5}[/tex]

[tex]x=1[/tex]

The number of hours was it before Penny was 5 miles ahead of Darla is 1 hour.

To make dough, Reba needs 2 1/2 cups of flour. How much flour does she need to make 5 batches of dough?

Answers

Answer:

12 1/2 cups of flour

Step-by-step explanation:

2 1/2 cups for each batch

5 batches

2 1 /2 x 5 =

12 1 /2

12 1/2 cups of flour

Explanation: 2 1/2 multiplied by 5 is 12.5

8. A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic
yards sold in a single order for concrete from this company, is shown in the table below.
|
X = the number of cubic yards
Probability
10
10.15
15
0.25
20
0.25
25
0.30
30
0.05
The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There
is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by
Y = 75X - 100. What is the standard deviation of Y?
(A) $332.00
(B) $432.00
(C) $532.00
(D) $1,343.75
(E) $1,400.00

Answers

Answer:

$432

Step-by-step explanation:

75(5.76)=432

The standard deviation of Y is $432 and this can be determined by using the formula of standard deviation and the given data.

Given :

A company sells concrete in batches of 5 cubic yards. The probability distribution of X, the number of cubic  yards sold in a single order for concrete from this company, is shown in the table below.The expected value of the probability distribution of X is 19.25 and the standard deviation is 5.76. There  is a fixed cost to deliver the concrete. The profit Y, in dollars, for a particular order can be described by  (Y = 75X - 100).

The formula to obtain the standard deviation is given below:

SD(Y) = SD(75X - 100)

Simplify the above expression by substituting the value of SD(X) and SD(100) in the above expression.

SD(Y) = 75SD(X) - SD(100)

SD(Y) = 75 SD(X) - 0

SD(Y) = 75 [tex]\times[/tex] 5.76

SD(Y) = $432

Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/12402189

If the distance from a plane to a radar station is 160 miles and the angle of depression is 34 degrees, find the number of ground miles from a point directly below the plane to the radar station.

Answers

Answer:

194

Step-by-step explanation:

Final answer:

To find the ground miles from a point below the plane to the radar station given the distance and angle of depression, use trigonometry to calculate the ground distance, which is approximately 107.2 miles.

Explanation:

The number of ground miles from a point directly below the plane to the radar station can be found using trigonometry. Given the distance from the plane to the radar station (160 miles) and the angle of depression (34 degrees), we can use the tangent function.

Calculate the distance on the ground using the formula: Ground distance = 160 x tan(34°).

Ground distance = 160 x tan(34°) ≈  160 x 0.67 = 107.2 miles.


Each marble bag sold by Karen's Marble Company contains 3 blue marbles for every 5 yellow marbles. If a bag has 45 yellow marbles, how many blue marbles
does it contain?

Answers

Answer:

27

Step-by-step explanation:

5/3 = 45/X

X = 27

Answer:

27 Blue marbles

Step-by-step explanation:

3 Blue marbles = 5 Yellow marbles

x = 45

(x multiply by 5) = 45 x 3

5x = 135

x = 135/5

x = 27 Blue Marbles

(Copied and pasted because no time) EXTREMELY URGENT! I'm in a timed math test atm, and I need answers for lots of questions! Look at the pictures posted, ignore my answer, as I am not confident in it, I just dont have time to leave the questions blank

Answers

Answer: I think the answer is D too just saying cuz I’m not sure either

Step-by-step explanation:

What is the answer?

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Find x.
5x - 20
A x=90
B x=35
C x=14
D x= 22

Answers

D. X= 22


5x-20=90
Add 20 to both sides.

5x=110
Divide by 5 on each side to isolate x.

x= 22

What is the 15th term in the sequence using the given formula?

yn = 12n-1

Answers

Answer:

Step-by-step explanation:

hello :

yn = 12n-1

the 15th term is :y15 when x= 15

y15 = 12(15)-1

y15 = 179

While mining, Joan found a large metal bar that weighted 40 grams. Joan was able to determine that the bar contained 35% zinc. How many grams of zinc are in the metal bar? Round you answer to the nearest whole number if necessary.

Answers

Answer:

14g zinc

Step-by-step explanation:

To get the mass of zinc in the metal bar, you can multiply the percentage of zinc by the total mass.

40g x .35 = 14g zinc

The metal bar contains 14 g zinc in the 40 grams metal bar.

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: A metal bar weighs 40 grams and it contains zinc equivalent to 35%

Let the weight of the zinc contained in the metal be x

Then we have x=35/100×40

                           =14 grams

Hence, The metal bar contains 14 g zinc in the 40 grams metal bar.

Learn more about percentages here:

https://brainly.com/question/29306119

#SPJ2

includes the points (-6 , n) and (-8, -9) has a slope of 4 what is the value of n?

Answers

Step-by-step explanation:

[tex]slope \: = \frac{n - ( - 9)}{ - 6 - ( - 8)} \\ \\ \therefore \: 4 \: = \frac{n + 9}{ - 6 + 8} \\ \\ \therefore \: 4 \: = \frac{n + 9}{ 2} \\ \\ \therefore \: 4 \times 2= n + 9 \\ \\ \therefore 8= n + 9 \\ \\ \therefore \: n = 8 - 9 \\ \\ \huge \red{ \boxed{\therefore \: n = - 1}}[/tex]

sandy has 56cents. she bought candy for 25cents how much money does she have left

Answers

Answer:

31 cents left

Step-by-step explanation:

56-25=31

You subtract 25 from 56 giving you 31 because sandy bought candy meaning she had to pay for it giving away 31 cents you can check the answer by saying sandy has 56 cents she gives 25 cents away leaving her with 31 cents

If KC = 31, what is KN?

Answers

Answer:

If KC = 31 then KN = 33

Step-by-step explanation:

An automobile factory,1849 parts are made in 4 hours.what is the average rate at which parts are made per hour?

Answers

Answer:

There are 462.25 parts being made per hour

Step-by-step explanation:

Step 1:  Make an equation

An automobile factory, 1849 parts are made in 4 hours.

1849 / 4 = x

Step 2:  Solve

1849 / 4 = x

462.25 = x

Answer:  There are 462.25 parts being made per hour

To find the hourly rate the parts are made, just divide.

1,849 / 4 = 462.25 parts made per hour.

Best of Luck!

Consider the triangle. Right triangle A B C. Side A C is 24 centimeters, C B is 10 centimeters, and hypotenuse A B is c. Find the length of the hypotenuse, c.   The length of the hypotenuse is cm.

Answers

Answer: The length of the hypotenuse is 26 cm

Step-by-step explanation: Please refer to the attached diagram

The triangle ABC is drawn as described such that the right angle is at point C and line AB is the hypotenuse which is yet unknown.

Since we have a right angled triangle with two sides known and one unknown, we can apply the Pythagoras theorem which states that

AC² = AB² + BC² where AC is the hypotenuse and AB and BC are the other two sides

In this question the hypotenuse is AB, so we now have;

AB² = AC² + CB²

AB² 24² + 10²

AB² = 576 + 100

AB² = 676

Add the square root sign to both sides of the equation

√AB² = √676

AB = 26

Therefore the length of the hypotenuse is 26 cm

Answer:

26 cm is the answer

Step-by-step explanation:

i got the question right

Factor the expression completely.
20x-16

Answers

Answer:

4(5x-4)

Step-by-step explanation:

4 is the common factor of 20 and 16 so it will stay outside the bracket. The left out is 5, x and 4. this forms the expression above.

True or false? Explain.

If f = {(1, 1), (2, 4), (3, 9)}, then f(5)=25

the answer is false (online system) but i dont know why

pls help stuck on HW

Answers

F should be 5 because 5 times 5 is 25 so the coordinate (x,y) should be doubling but on the third coordinate it should be 3,8 not 3,9

A catapult is designed to launch circus performers from a raised platform. After launch, the height of the performer in feet is given by h left parenthesis t right parenthesis equals minus 16 t squared plus 80 t plus 32 where t is seconds after launch. After how many seconds is the performer exactly 100 feet above the ground? Round to the nearest tenth of a second.

Answers

Answer:

t = 1.1 sec for first time and then in

t = 3.9 sec

Step-by-step explanation:

The function for the height of the circus performers is:

[tex]h(t) = -16t^{2} +80t +32[/tex]

                             where t is seconds after launch

                                        h is height in feet

For calculating after how many seconds is the performer at 100 feet above the ground, we must equal the equation to 100 and to find t:

Then,

[tex]100 = -16t^{2} +80t+32[/tex]

[tex]0 = -16t^{2}+80t -68[/tex]

[tex]t = \frac{-80\ \pm \\\sqrt{80^{2}-4(-16)(-68) } }{2(-16)}[/tex]

t = 3.9 sec

t = 1.1 sec

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